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Finding the Fourth Proportional to 415,172.61, 622,944.41 and 201,823.47

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Solution

The fourth proportional to 415,172.61, 622,944.41 and 201,823.47 is: 302,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,172.61 : 622,944.41 = 201,823.47 : x
  2. Step 2: Convert to fraction form
    415,172.61/622,944.41 = 201,823.47/x
  3. Step 3: Cross multiply
    415,172.61x = 622,944.41 × 201,823.47
  4. Step 4: Simplify right side
    415,172.61x = 125,724,801,434.19
  5. Step 5: Solve for x
    x = 125,724,801,434.19/415,172.61
  6. Step 6: Final answer
    x = 302,825.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.